A store owner has 70 more passion fruits than starfruits. After he sold 60% of the passion fruits and 35% of the starfruits, he is left with 22 less passion fruits than starfruits. What fraction of the fruits left were starfruits?
|
Passion fruits |
Starfruits |
Comparing passion fruits and starfruits at first |
70 more |
|
Before |
5x4 = 20 u |
+ 70 |
20x1 = 20 u |
Change |
- 3x4 = - 12 u |
- 42 |
- 7x1 = - 7 u |
After |
2x4 = 8 u |
+ 28 |
13x1 = 13 u |
Comparing passion fruits and starfruits in the end |
22 less |
|
60% =
60100 =
35 60% x 70 =
35 x 70 = 42
70 - 42 = 28
35% =
35100 =
720 The number of passion fruits is 22 less than the number of starfruits in the end. So, if another 22 passion fruits are added, the number of passion fruits and starfruits in the end will be the same.
8 u + 28 + 22 = 13 u
8 u + 50 = 13 u
13 u - 8 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Number of starfruits left
= 13 u
= 13 x 10
= 130
Total number of fruits left
= 8 u + 28 + 13 u
= 21 u + 28
= 21 x 10 + 28
= 210 + 28
= 238
Starfruits leftTotal fruits left =
130238 =
65119 Answer(s):
65119